document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193270>Question 193270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5^(x-1)=3^x  Find x I tried to solve using log and i couldn't find x. Can anybody help on this? Thank you~! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145091 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28x-1%29=3%5Ex ALIGN=MIDDLE  ALT=\"5%5E%28x-1%29=3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%285%5E%28x-1%29%29%29=log%2810%2C%283%5Ex%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%285%5E%28x-1%29%29%29=log%2810%2C%283%5Ex%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the log of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29log%2810%2C%285%29%29=x%2Alog%2810%2C%283%29%29 ALIGN=MIDDLE  ALT=\"%28x-1%29log%2810%2C%285%29%29=x%2Alog%2810%2C%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponents\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%2810%2C%285%29%29-log%2810%2C%285%29%29=x%2Alog%2810%2C%283%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%2810%2C%285%29%29-log%2810%2C%285%29%29=x%2Alog%2810%2C%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-log%2810%2C%285%29%29=x%2Alog%2810%2C%283%29%29-x%2Alog%2810%2C%285%29%29 ALIGN=MIDDLE  ALT=\"-log%2810%2C%285%29%29=x%2Alog%2810%2C%283%29%29-x%2Alog%2810%2C%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%2810%2C%285%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%2810%2C%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-log%2810%2C%285%29%29=x%28log%2810%2C%283%29%29-log%2810%2C%285%29%29%29 ALIGN=MIDDLE  ALT=\"-log%2810%2C%285%29%29=x%28log%2810%2C%283%29%29-log%2810%2C%285%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF \"x\" on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-log%2810%2C%285%29%29=x%2Alog%2810%2C%283%2F5%29%29 ALIGN=MIDDLE  ALT=\"-log%2810%2C%285%29%29=x%2Alog%2810%2C%283%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs on the right side using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-log%2810%2C%285%29%29%2Flog%2810%2C%283%2F5%29%29=x ALIGN=MIDDLE  ALT=\"-log%2810%2C%285%29%29%2Flog%2810%2C%283%2F5%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%283%2F5%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%283%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.15066=x ALIGN=MIDDLE  ALT=\"3.15066=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the right side (using a calculator). Note: the value of \"x\" is now approximate\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3.15066 ALIGN=MIDDLE  ALT=\"x=3.15066\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation\r<BR>\n" );
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document.write( "So the solution is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3.15066 ALIGN=MIDDLE  ALT=\"x=3.15066\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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